{"id":"https://openalex.org/W3140079845","doi":"https://doi.org/10.1109/tip.2021.3068646","title":"Generalized Nonconvex Low-Rank Tensor Approximation for Multi-View Subspace Clustering","display_name":"Generalized Nonconvex Low-Rank Tensor Approximation for Multi-View Subspace Clustering","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3140079845","doi":"https://doi.org/10.1109/tip.2021.3068646","mag":"3140079845","pmid":"https://pubmed.ncbi.nlm.nih.gov/33784622"},"language":"en","primary_location":{"id":"doi:10.1109/tip.2021.3068646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2021.3068646","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031480448","display_name":"Yongyong Chen","orcid":"https://orcid.org/0000-0003-1970-1993"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]},{"id":"https://openalex.org/I4210144487","display_name":"Cloud Computing Center","ror":"https://ror.org/04aa0zm65","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210144487"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongyong Chen","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China","Shenzhen Key Laboratory of Visual Object Detection and Recognition, Shenzhen, China","Bio-Computing Research Center, Harbin Institute of Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0003-1970-1993","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]},{"raw_affiliation_string":"Shenzhen Key Laboratory of Visual Object Detection and Recognition, Shenzhen, China","institution_ids":[]},{"raw_affiliation_string":"Bio-Computing Research Center, Harbin Institute of Technology, Shenzhen, China","institution_ids":["https://openalex.org/I4210144487","https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079448948","display_name":"Shuqin Wang","orcid":"https://orcid.org/0000-0003-4873-1307"},"institutions":[{"id":"https://openalex.org/I21193070","display_name":"Beijing Jiaotong University","ror":"https://ror.org/01yj56c84","country_code":"CN","type":"education","lineage":["https://openalex.org/I21193070"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shuqin Wang","raw_affiliation_strings":["Institute of Information Science, Beijing Jiaotong University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-4873-1307","affiliations":[{"raw_affiliation_string":"Institute of Information Science, Beijing Jiaotong University, Beijing, China","institution_ids":["https://openalex.org/I21193070"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054958308","display_name":"Chong Peng","orcid":"https://orcid.org/0000-0003-0003-5126"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chong Peng","raw_affiliation_strings":["College of Computer Science and Technology, Qingdao University, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0003-0003-5126","affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Qingdao University, Qingdao, China","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007080915","display_name":"Zhongyun Hua","orcid":"https://orcid.org/0000-0002-3529-0541"},"institutions":[{"id":"https://openalex.org/I158809036","display_name":"Shenzhen Institute of Information Technology","ror":"https://ror.org/03wrf9427","country_code":"CN","type":"education","lineage":["https://openalex.org/I158809036"]},{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongyun Hua","raw_affiliation_strings":["School of Computer Science and Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0002-3529-0541","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Harbin Institute of Technology (Shenzhen), Shenzhen, China","institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009595085","display_name":"Yicong Zhou","orcid":"https://orcid.org/0000-0002-4487-6384"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]}],"countries":["MO"],"is_corresponding":false,"raw_author_name":"Yicong Zhou","raw_affiliation_strings":["Department of Computer and Information Science, University of Macau, Macau, China"],"raw_orcid":"https://orcid.org/0000-0002-4487-6384","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5031480448"],"corresponding_institution_ids":["https://openalex.org/I158809036","https://openalex.org/I204983213","https://openalex.org/I4210144487"],"apc_list":null,"apc_paid":null,"fwci":23.7077,"has_fulltext":false,"cited_by_count":178,"citation_normalized_percentile":{"value":0.99872671,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"30","issue":null,"first_page":"4022","last_page":"4035"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12303","display_name":"Tensor decomposition and applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/2605","display_name":"Computational Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10331","display_name":"Video Surveillance and Tracking Methods","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.6685252785682678},{"id":"https://openalex.org/keywords/tensor","display_name":"Tensor (intrinsic definition)","score":0.6672711372375488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6323923468589783},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5707098841667175},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.536251962184906},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.5073296427726746},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5021984577178955},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5001652240753174},{"id":"https://openalex.org/keywords/matrix-norm","display_name":"Matrix norm","score":0.44087639451026917},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3740023970603943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3535528779029846},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.328673779964447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1940615475177765},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1493484079837799},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14315691590309143},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09322130680084229}],"concepts":[{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.6685252785682678},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.6672711372375488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6323923468589783},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5707098841667175},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.536251962184906},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.5073296427726746},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5021984577178955},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5001652240753174},{"id":"https://openalex.org/C92207270","wikidata":"https://www.wikidata.org/wiki/Q939253","display_name":"Matrix norm","level":3,"score":0.44087639451026917},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3740023970603943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3535528779029846},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.328673779964447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1940615475177765},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1493484079837799},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14315691590309143},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09322130680084229},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tip.2021.3068646","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tip.2021.3068646","pdf_url":null,"source":{"id":"https://openalex.org/S4210173141","display_name":"IEEE Transactions on Image Processing","issn_l":"1057-7149","issn":["1057-7149","1941-0042"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Image Processing","raw_type":"journal-article"},{"id":"pmid:33784622","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33784622","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on image processing : a publication of the IEEE Signal Processing Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3584286123","display_name":null,"funder_award_id":"MYRG2018-00136-FST","funder_id":"https://openalex.org/F4320322841","funder_display_name":"Universidade de Macau"},{"id":"https://openalex.org/G8244995127","display_name":"\u9ad8\u7ef4\u9c81\u68d2\u6df7\u6c8c\u673a\u7406\u7814\u7a76\u53ca\u5176\u5728\u751f\u6210\u5f0f\u5bf9\u6297\u7f51\u7edc\u4e2d\u7684\u5e94\u7528","funder_award_id":"62071142","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322841","display_name":"Universidade de Macau","ror":"https://ror.org/01r4q9n85"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W201974436","https://openalex.org/W1634387560","https://openalex.org/W1907775068","https://openalex.org/W1993962865","https://openalex.org/W1997201895","https://openalex.org/W2040329636","https://openalex.org/W2043571470","https://openalex.org/W2152161678","https://openalex.org/W2164278908","https://openalex.org/W2165874743","https://openalex.org/W2165922980","https://openalex.org/W2166663637","https://openalex.org/W2197707282","https://openalex.org/W2279323413","https://openalex.org/W2404771443","https://openalex.org/W2505029951","https://openalex.org/W2557638715","https://openalex.org/W2565835729","https://openalex.org/W2577472518","https://openalex.org/W2604723872","https://openalex.org/W2605146283","https://openalex.org/W2724686744","https://openalex.org/W2737186053","https://openalex.org/W2752197020","https://openalex.org/W2756626360","https://openalex.org/W2758021822","https://openalex.org/W2758611985","https://openalex.org/W2797653144","https://openalex.org/W2809506935","https://openalex.org/W2884277568","https://openalex.org/W2894142921","https://openalex.org/W2896169497","https://openalex.org/W2898233200","https://openalex.org/W2904698128","https://openalex.org/W2905279478","https://openalex.org/W2921065608","https://openalex.org/W2943996654","https://openalex.org/W2949579163","https://openalex.org/W2952556356","https://openalex.org/W2963218026","https://openalex.org/W2963365397","https://openalex.org/W2965028812","https://openalex.org/W2965538838","https://openalex.org/W2970297355","https://openalex.org/W2974585710","https://openalex.org/W2983762999","https://openalex.org/W2984269267","https://openalex.org/W2989773826","https://openalex.org/W2990654629","https://openalex.org/W2997739739","https://openalex.org/W2998358581","https://openalex.org/W3000198573","https://openalex.org/W3005916310","https://openalex.org/W3010318487","https://openalex.org/W3015899030","https://openalex.org/W3016775597","https://openalex.org/W3024343454","https://openalex.org/W3099865281","https://openalex.org/W3119959254","https://openalex.org/W3128918602","https://openalex.org/W3134487894","https://openalex.org/W4285719527","https://openalex.org/W4292363360","https://openalex.org/W4393072862","https://openalex.org/W6608209381","https://openalex.org/W6628883312","https://openalex.org/W6684578312","https://openalex.org/W6713338760","https://openalex.org/W6730188390","https://openalex.org/W6731795620","https://openalex.org/W6735994599","https://openalex.org/W6736441558","https://openalex.org/W6744043827","https://openalex.org/W6766091529","https://openalex.org/W6767630037","https://openalex.org/W6774346872"],"related_works":["https://openalex.org/W2487162673","https://openalex.org/W2942366970","https://openalex.org/W2793211469","https://openalex.org/W2949152769","https://openalex.org/W2890370013","https://openalex.org/W3003965400","https://openalex.org/W2030927653","https://openalex.org/W2953204310","https://openalex.org/W2062063412","https://openalex.org/W3155724094"],"abstract_inverted_index":{"The":[0],"low-rank":[1,73,89,105],"tensor":[2,47,61,74,90,106],"representation":[3],"(LRTR)":[4],"has":[5],"become":[6],"an":[7],"emerging":[8],"research":[9],"direction":[10],"to":[11,92,108,123],"boost":[12],"the":[13,24,32,46,51,60,70,83,88,94,102,111,125,154],"multi-view":[14,78],"clustering":[15,159],"performance.":[16],"This":[17],"is":[18,40,137],"because":[19],"LRTR":[20,44],"utilizes":[21],"not":[22],"only":[23],"pairwise":[25,84],"relation":[26,34],"between":[27],"data":[28],"points,":[29],"but":[30,54],"also":[31],"view":[33],"of":[35,59,82,114,141],"multiple":[36,98],"views.":[37],"However,":[38],"there":[39],"one":[41],"significant":[42],"challenge:":[43],"uses":[45],"nuclear":[48],"norm":[49,107],"as":[50],"convex":[52],"approximation":[53,75,91],"provides":[55],"a":[56,120,138],"biased":[57],"estimation":[58],"rank":[62],"function.":[63],"To":[64],"address":[65],"this":[66],"limitation,":[67],"we":[68],"propose":[69],"generalized":[71,103],"nonconvex":[72,104],"(GNLTA)":[76],"for":[77],"subspace":[79],"clustering.":[80],"Instead":[81],"correlation,":[85],"GNLTA":[86,126,156],"adopts":[87],"capture":[93],"high-order":[95],"correlation":[96],"among":[97],"views":[99],"and":[100,128],"proposes":[101],"well":[109],"consider":[110],"physical":[112],"meanings":[113],"different":[115],"singular":[116],"values.":[117],"We":[118],"develop":[119],"unified":[121],"solver":[122],"solve":[124],"model":[127],"prove":[129],"that":[130,153],"under":[131],"mild":[132],"conditions,":[133],"any":[134],"accumulation":[135],"point":[136,140],"stationary":[139],"GNLTA.":[142],"Extensive":[143],"experiments":[144],"on":[145],"seven":[146],"commonly":[147],"used":[148],"benchmark":[149],"databases":[150],"have":[151],"demonstrated":[152],"proposed":[155],"achieves":[157],"better":[158],"performance":[160],"over":[161],"state-of-the-art":[162],"methods.":[163]},"counts_by_year":[{"year":2026,"cited_by_count":10},{"year":2025,"cited_by_count":35},{"year":2024,"cited_by_count":33},{"year":2023,"cited_by_count":49},{"year":2022,"cited_by_count":43},{"year":2021,"cited_by_count":8}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
